The most radical suggestion arising from this direction of thought is the insistence on the reality of the present moment and, beyond that, the principle that all that is real is so in a present moment . To the extent that this is a fruitful idea, physics can no longer be understood as the search for a precisely identical mathematical double of the universe. That dream must be seen now as a metaphysical fantasy that may have inspired generations of theorists but is now blocking the path to further progress. Mathematics will continue to be a handmaiden to science, but she can no longer be the Queen.
– Lee Smolin, Time Reborn: From the Crisis in Physics to the Future of the Universe
What if everything we’ve been taught about time, space, and the universe is not just wrongheaded, but couched in a mathematics of conceptual statements (theorems) that presumed it could map the totality of reality in a one-to-one ratio of identity? This notion that mathematics can ultimately describe reality, that there is a one to one identity between the conceptual framework of mathematics and the universe – the Cartesian physicist – or, you may know him under the epithet of String theorist – will maintain that those statements about the accretion of the universe which can be mathematically formulated designate actual properties of the event in question (such as its date, its duration, its extension), even when there is no observer present to experience it directly. In doing so, our physicist is defending a Cartesian thesis about matter, but not, it is important to note, a Pythagorean one: the claim is not that the being of accretion is inherently mathematical – that the numbers or equations deployed in the statements (mathematical theorems) exist in themselves. What if all those scientists, philosophers and mathematicians who have pursued this path had in fact taken a wrong turn along the way. This is the notion that Lee Smolin an American theoretical physicist, a faculty member at the Perimeter Institute for Theoretical Physics, an adjunct professor of physics at the University of Waterloo and a member of the graduate faculty of the philosophy department at the University of Toronto puts forward in his new book Time Reborn: From the Crisis in Physics to the Future of the Universe.